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We derive an exact formula for the dimensionality of the Hilbert space of the boundary states of SU(2) Chern-Simons theory, which, according to the recent work of Ashtekar et al, leads to the Bekenstein-Hawking entropy of a four dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Romesh K. Kaul , Parthasarathi Majumdar

The Bekenstein-Hawking equation states that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, this equation leads to an inconsistency among the…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Sathyawageeswar Subramanian , Go Kato

The statistical response of a Kerr black hole to incoming quantum radiation has heretofore been studied by the methods of maximum entropy or quantum field theory in curved spacetime. Neither approach pretends to take into account the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jacob D. Bekenstein

We investigate thermodynamics of static and spherically symmetric black holes (BHs) in the Horndeski theories. Because of the presence of the higher-derivative interactions and the nonminimal derivative couplings of the scalar field, the…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Masato Minamitsuji , Kei-ichi Maeda

The quantum corrections to black hole entropy, variously defined, suffer quadratic divergences reminiscent of the ones found in the renormalization of the gravitational coupling constant (Newton constant). We consider the suggestion, due to…

High Energy Physics - Theory · Physics 2009-10-28 Finn Larsen , Frank Wilczek

We study the ultraviolet divergent structures of the matter (scalar) field in a higher D-dimensional Reissner-Nordstr\"{o}m black hole and compute the matter field contribution to the Bekenstein-Hawking entropy by using the Pauli-Villars…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Liberati

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

Microscopic state counting for a black hole in Loop Quantum Gravity yields a result proportional to horizon area, and inversely proportional to Newton's constant and the Immirzi parameter. It is argued here that before this result can be…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Ted Jacobson

We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

By using the brick wall method we calculate the free energy and the entropy of the scalar field in the rotating black holes. As one approaches the stationary limit surface rather than the event horizon in comoving frame, those become…

High Energy Physics - Theory · Physics 2009-10-30 Min-Ho Lee , Jae Kwan Kim

In loop quantum gravity the quantum states of a black hole horizon are produced by point-like discrete quantum geometry excitations (or {\em punctures}) labelled by spin $j$. The excitations possibly carry other internal degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Amit Ghosh , Karim Noui , Alejandro Perez

The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

The Newman-Penrose formalism is used to derive the Teukolsky master equations controlling massless scalar, neutrino, electromagnetic, gravitino, and gravitational field perturbations of the Kerr-de Sitter spacetime. Then the quantum entropy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 S. Q. Wu , M. L. Yan

We study different entropies for coherent states representing the geometry of spherically symmetric compact systems. We show that the thermodynamic entropy reproduces the Bekenstein-Hawking result in the presence of thermal modes at the…

General Relativity and Quantum Cosmology · Physics 2023-10-12 R. Casadio , R. da Rocha , A. Giusti , P. Meert

We consider scalar and axial gravitational perturbations of black hole solutions in brane world scenarios. We show that perturbation dynamics is surprisingly similar to the Schwarzschild case with strong indications that the models are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Abdalla , B. Cuadros-Melgar , A. B. Pavan , C. Molina

A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

In this work, we consider a noncommutative (NC) massless scalar field coupled to the classical nonrotational BTZ geometry. In a manner of the theories where the gravity emerges from the underlying scalar field theory, we study the effective…

High Energy Physics - Theory · Physics 2016-05-25 Tajron Jurić , Andjelo Samsarov

It is shown that the classical entropy of the extremal black hole depends on two different limits procedures. If we first take the extremal limit and then the boundary limit, the entropy is zero; if we do it the other way round, we get the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ru-Keng Su , Bin Wang , P. K. N. Yu , E. C. M. Young
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